The invention relates to monoclonal and/or monovalent antibodies that bind CD47. The invention relates to monoclonal and/or monovalent antibodies that bind CD19. The invention also relates to novel bispecific monoclonal antibodies carrying a different specificity for each binding site of the immunoglobulin molecule, where one of the binding sites is specific for CD47. The invention also relates to novel bispecific monoclonal antibodies carrying a different specificity for each binding site of the immunoglobulin molecule, where one of the binding sites is specific for CD19.